Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators
classification
🧮 math.SP
keywords
alphabetaeigenvalueharmoniclowestmultiplicitynon-commuatativenon-commutative
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The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(\alpha,\beta) is studied. It is shown that E is simple for \alpha and \beta in some region.
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